Kink dynamics, sinh-Gordon solitons and strings in AdS3from the Gross–Neveu model

2010/06/02 by Andreas Klotzek, Michael Thies · 17 citations
Physics and Astronomy · #Fermion #Field (mathematics) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum field theory #Scattering theory #Simple (philosophy) #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1088/1751-8113/43/37/375401

published in Journal of Physics A Mathematical and Theoretical 43(37), 375401 (Institute of Physics) · 13 pages, 7 figures

arxiv created 2010/06/02 · openalex publication_date 2010/07/30 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Guided by a study of kink–antikink scattering in the Gross–Neveu model and other known solutions of the Hartree–Fock approach of a particularly simple type, we demonstrate a quantitative relationship between three different problems: quantized (1+1)-dimensional fermions in the large N limit, solitons of the classical sinh-Gordon equation and classical strings moving in three-dimensional anti-de Sitter space. Aside from throwing light on the relationship between quantum field theory and classical physics, this points to the full solvability of the dynamical N -kink–antikink problem in the Gross–Neveu model.

Citations

• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Divergence of the axial current and fermion density in Gross-Neveu models
• Phase diagram of the Gross–Neveu model: exact results and condensed matter precursors
• Revised phase diagram of the Gross-Neveu model
• Full phase diagram of the massive Gross–Neveu model
• Analytical solution of the Gross-Neveu model at finite density
• A planar diagram theory for strong interactions
• Note on Exchange Phenomena in the Thomas Atom

Cited by

• Kinks and branes in models with hyperbolic interactions